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Finding the Third Proportional to 672,664.50 and 1,007,143.88

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Solution

The third proportional to 672,664.50 and 1,007,143.88 is: 1,507,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,664.50 : 1,007,143.88 = 1,007,143.88 : x
  2. Step 2: Convert to fraction form
    672,664.50/1,007,143.88 = 1,007,143.88/x
  3. Step 3: Cross multiply
    672,664.50x = 1,007,143.88 × 1,007,143.88
  4. Step 4: Simplify right side
    672,664.50x = 1,014,338,784,950.02
  5. Step 5: Solve for x
    x = 1,014,338,784,950.02/672,664.50
  6. Step 6: Final answer
    x = 1,507,941.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.